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math.AG2006★ 2 cited
Evaluating tautological classes using only Hurwitz numbers
Aaron Bertram, Renzo Cavalieri, Gueorgui Todorov
Hurwitz numbers count ramified covers of a Riemann surface with prescribed monodromy. As such, they are purely combinatorial objects. Tautological classes, on the other hand, are d…
math.AG2006★ 7 cited
Generating Functions for Hurwitz-Hodge Integrals
Renzo Cavalieri
In this paper we describe explicit generating functions for a large class of Hurwitz-Hodge integrals. These are integrals of tautological classes on moduli spaces of admissible cov…